Quantum entanglement in the SU(1,1)-related coherent fields interacting with a moving atom

Quantum entanglement and position–momentum entropic squeezing of a moving Lambda-type three-level atom interacting with a single-mode quantized field with intensity-dependent coupling

“…Liao et al [21] investigated the entropy squeezing of a moving atom interacting with a single-mode quantized field and investigated some effects on the evolution of this property. Also, quantum entanglement of the SU(1,1)-related coherent state which interacts with a moving atom has been outlined in [22]. As another point, it is recently found that in quantum information studies, three-level systems possess the outstanding advantages in comparison with two-level systems [23].…”

“…For a particular choice of the atomic motion, we consider the velocity of the atom as in Refs. [21,22] by v = λL/π and hence f (z) = sin(pλt). Consequently, Θ(t) becomes…”

Quantum Entanglement in Two-Photon Tavis–Cummings Model with a Kerr Nonlinearity

“…Some authors have investigated the properties of the quantum entanglement in the J-C model and its other forms extended [1,[8][9][10][11][12]. However, less attention has been paid to the properties of quantum entanglement in the two-photon Tavis-Cummings model with a Kerr nonlinearity.…”

SU(1,1) Coherent States for the Generalized Two-Mode Time-Dependent Quadratic Hamiltonian System

“…The former may be generated by means of a process including the competition between nondegenerate parametric amplification and nondegenerate two-photon absorption, while the generation of the latter can be attained from the unitary evolution of two-mode number states driven by a nondegenerated parametric device [20]. It is noticed that SU(1, 1) coherent states reveal the nonclassical properties such as squeezing effect, nontrivial zero-point energy, violations of the Cauchy-Schwarz inequality, and fluctuation of uncertainty products [21,22]. Since the SU(1, 1) coherent states for one-mode TDQHS have been already studied [6], the investigation of the SU(1, 1) coherent states in the present work will be focused on the generalized two-mode TDQHS through the formulation of SU(1, 1) Lie algebra.…”